A spherical balloon is being inflated. Find the rate (in
f(t^(2))/(f)t
) of increase of the surface area (
S=4\pi r^(2)
) with respect to the radius
r
when
r
is each of the following. (a)
3ft

◻

f(t^(2))/(f)t
(b)
7ft

◻

f(t^(2))/(f)t

Question

A spherical balloon is being inflated. Find the rate (in

f(t^(2))/(f)t

) of increase of the surface area (

S=4\pi r^(2)

) with respect to the radius

r

when

r

is each of the following. (a)

3ft

◻

f(t^(2))/(f)t

(b)

7ft

◻

f(t^(2))/(f)t

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